Justin and Ben had a total of $315. Justin gave $22 to Ben. In return, Ben gave
16 of his money to Justin. In the end, Justin had twice as much money as Ben. How much money did Justin have at first?
| |
Justin |
Ben |
Total |
| Before |
|
|
$315 |
| Change 1 |
- $22 |
+ $22 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Justin
and Ben
in the end |
2 u |
1 u |
$315 |
The total amount that Ben and Justin had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 315
1 u = 315 ÷ 3 = 105
Amount that Justin has in the end
= 2 u
= 2 x 105
= $210
Amount that Ben has in the end
= 1 u
= $105
5 p = 1 u = 105
1 p = 105 ÷ 5 = 21
Amount that Ben gave to Justin
= 1 p
= 1 x 21
= $21
Amount that Justin had at first
= 210 - 21 + 22
= $211
Answer(s): $211
